Just so people know, this was done based off a model, which assumes deforestation/population rates are constant. In other words, they are making predictions based off the assumption that humans do nothing about it and take no action (even though these responses are ongoing)
Most importantly, they use deforestation as a surrogate measure for all Human Resources. There is many other methods to obtain resources, and therefor this model cannot generalize to the world we live in. Additionally, when demand exceeds resources, of course the growth curve plateaus, or decreases. But to make a stretch by saying ‘total extinction’ isn’t right – it certainly functions to grasp ones attention and gain views.
For those still reading, This is simply a sensationalist article. Although global/human health are important topics that need ongoing action, there is many other resources to learn this information from.